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Finding the Fourth Proportional to 8,308.54, 11,458.56 and 7,189.12

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Solution

The fourth proportional to 8,308.54, 11,458.56 and 7,189.12 is: 9,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.54 : 11,458.56 = 7,189.12 : x
  2. Step 2: Convert to fraction form
    8,308.54/11,458.56 = 7,189.12/x
  3. Step 3: Cross multiply
    8,308.54x = 11,458.56 × 7,189.12
  4. Step 4: Simplify right side
    8,308.54x = 82,376,962.87
  5. Step 5: Solve for x
    x = 82,376,962.87/8,308.54
  6. Step 6: Final answer
    x = 9,914.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.